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Explore the mathematical foundations of extremal horizons through the lens of quasi-Einstein geometry in this 53-minute conference talk. Delve into the intricate connections between general relativity and differential geometry as the speaker examines how extremal black hole horizons relate to quasi-Einstein manifolds. Learn about the geometric properties that characterize these special spacetime boundaries and discover the mathematical tools used to analyze their structure. Investigate the role of Einstein field equations in shaping horizon geometry and understand how quasi-Einstein conditions provide insights into the behavior of matter and energy near these critical regions. Gain exposure to advanced concepts in mathematical physics that bridge pure mathematics and theoretical physics, presented as part of the Women at the Intersection of Mathematics and Theoretical Physics discussion meeting aimed at fostering cross-disciplinary collaboration and education.
